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Finding the Fourth Proportional to 416,395.66, 624,598.60 and 146,531.85

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Solution

The fourth proportional to 416,395.66, 624,598.60 and 146,531.85 is: 219,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,395.66 : 624,598.60 = 146,531.85 : x
  2. Step 2: Convert to fraction form
    416,395.66/624,598.60 = 146,531.85/x
  3. Step 3: Cross multiply
    416,395.66x = 624,598.60 × 146,531.85
  4. Step 4: Simplify right side
    416,395.66x = 91,523,588,365.41
  5. Step 5: Solve for x
    x = 91,523,588,365.41/416,395.66
  6. Step 6: Final answer
    x = 219,799.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.